The rooms in a house are adjacent as indicated in the following table. An adjacent, and a '-'means they are not. RmLMNOPQRST L - - * * * * M --* N** O* P *-** Q R S- S T I I ** * * * * * I I I I I I I * * * I * * I I * * * * I I * I I * I How few colors can be used so that each room is painted a color so in which no two adjacent rooms are the same color? List the rooms in groups with the same color, with the groups separated by semicolons (i.e. F E, A; GBD; C).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The rooms in a house are adjacent as indicated in the following table. An *' means they are
adjacent, and a '-'means they are not.
Rm LMNOPQRST
L-- ****
M----
N*
0
P
Q
R
S
T
+
*
--
*
*
*
**
-
✰✰✰
*
|_
- ---
*
*
-
How few colors can be used so that each room is painted a color so in which no two adjacent
rooms are the same color?
List the rooms in groups with the same color, with the groups separated by semicolons (i.e. FE; A;
GBD; C).
Transcribed Image Text:The rooms in a house are adjacent as indicated in the following table. An *' means they are adjacent, and a '-'means they are not. Rm LMNOPQRST L-- **** M---- N* 0 P Q R S T + * -- * * * ** - ✰✰✰ * |_ - --- * * - How few colors can be used so that each room is painted a color so in which no two adjacent rooms are the same color? List the rooms in groups with the same color, with the groups separated by semicolons (i.e. FE; A; GBD; C).
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